Title：Covariant phase space with boundaries

Speaker：Jieqiang Wu（MIT）

Time：June 9, 2020 (Tuesday) ,21:00 PM(Beijing Time)

Venue：Online Report （ZOOM ID：641 1361 1042）

Click the following link to enter the meeting：https://cernet.zoom.com.cn/j/64113611042

Abstract：The covariant phase space formalism of Iyer, Lee, Wald, Zoupas gives an elegant way to understand the Hamiltonian mechanics of gravity without breaking covariance. In this work, we revisit this formalism with more careful treatment of the boundary effect. We keep the boundary terms in the action from the very beginning, and derive the covariant phase space formalism systematically. Within our formalism, the Hamiltonian appears automatically only assuming that the configurations satisfy equationsof motion and boundary conditions. We also give some comments on Peierls bracket which is a linear interpretation of bracket in covariant phase space formalism.